# Is $SSE/(n−2)$ an estimator of the variance of the dependent variable for a fixed x-value?

For linear regression, is an estimator of the variance of the dependent variable for a fixed x-value $SSE/(n-2)$?

• You are assuming one independent variable and a constant term, right? – whuber Sep 23 '11 at 18:06
• @whuber : yes I am. Is it correct then? Thanks. – user6478 Sep 23 '11 at 22:41
• Technically any function of the data can be an estimator. Whether or not it is a good estimator is another matter. – Simon Byrne Sep 25 '11 at 16:40

Also note that this is about $\text{var}(y) \cdot (1 - r^2)$.
• The estimator is for $\text{var}(y) \cdot (1-r^2)$? This is the same thing as the residual variance right? – user6478 Sep 25 '11 at 14:28